Local Bifurcation for Steady Periodic Capillary Water Waves with Constant Vorticity

被引：17

作者：

Martin, Calin Iulian ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2013年 / 15卷 / 01期

关键词：

FINITE DEPTH; TRAJECTORIES; UNIQUENESS; AMPLITUDE; SYMMETRY;

D O I：

10.1007/s00021-012-0096-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study periodic capillary waves at the free surface of water in a flow with constant vorticity over a flat bed. Using bifurcation theory the local existence of waves of small amplitude is proved even in the presence of stagnation points in the flow. We also derive the dispersion relation.

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收藏

页码：155 / 170

页数：16

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